Cauchy integrals for the p-Laplace equation in planar Lipschitz domains
Journal article, 2014

We construct solutions to p-Laplace type equations in unbounded Lipschitz domains in the plane with prescribed boundary data in appropriate fractional Sobolev spaces. Our approach builds on a Cauchy integral representation formula for solutions.

quasi-linear

p-Laplace

p-harmonic

functional calculus

Cauchy integral

Author

K. Nystrom

Uppsala University

Andreas Rosén

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Annales Academiae Scientiarum Fennicae Mathematica

1239629x (ISSN) 17982383 (eISSN)

Vol. 39 2 545-565

Subject Categories

Mathematics

DOI

10.5186/aasfm.2014.3939

More information

Latest update

2/28/2018